Due the school day after we cover the lesson in class
9-1: Ben B. and Erica M.
9-2: Stephanie G. and Samantha R.
9-3: Nick C. and Patrick E.
9-4: Cassi K. and Tyler P.
9-5: Alexis H. and Ben R.
9-6: Isaac H. and Samantha L.
9-7: Jared K. and Chris P.
9-8: Katlyn K. (Bonus) and Sam L. (Bonus)
Student Summaries:
Ben B. - How do you write polynomials in standard form? How do you add and subtract polynomials? Both questions I will answer for you in this Wiki Summary. But first lets get a little more familiar with the vocabulary.
Monomial- An expression that has one term (a number, variable, or a combination of both a number & variables without any addition or subtraction).
Coefficient- The number that is with the variable.
Constant- A number without a variable.
Polynomial- A collection of terms that are combined by addiction or subtraction. Term- Each monomial within a polynomial.
Binomial- A polynomial with two terms.
Trinomial- A polynomial with three terms.
Standard Form- When a polynomial is written from highest to lowest degree (highest to lowest exponent).
Like Terms- Terms that have the same variable parts (variables & exponents).
Now that we know all this lets get in to how to write polynomials in standard form and how to add and subtract them. Tell the variable for which the polynomial is arranged in standard form, Add the polynomials, and subtract from the sum. There’s all that in a nut shell. =}
Erica M.
Student Summaries: Stephanie G & Samantha R- In lesson 9-2 we learned how to multiply monomials. When you are multiplying monomials all you have to do is multiply. The first part you multiply is the base or the constant, which is the number in the monomials. Then the next part you multiply or add the variable(s) or coefficient(s) and their exponent. The way to tell if you have to add or multiply the exponents is if there is an exponent outside of the (), and it is by it's self you multiply everything in the () by the exponent. So if there is not an exponent right after a () you add your exponents. When you get your answer make sure it is in alphabetical order. And the other thing that happens when you are multiplying monomials is when you get your answer is it will always be a monomial, no matter how many you multiply together.
Student Summaries:
Nick C and Patrick E Today we learned how to divide monomials. An example is 20x^5 divided by 5x^2. first we would divide the coefficient on top by the one on the bottom which would be 20 divided by 5. then you would take the exponents and subtract them and you would get 4x^3.
Student Summaries:
Cassi K.-I In this lesson we learned how to multiply a polynomial by a monomial. When multiplying this all you are pretty much doing is distribution. You have to distribute the number in front to everything in the parentheses. An example is:
2x(2x+y) 1. You need to multiply the coeffecient with the first term in the parentheses, and add the "x's." 2. You need to multiply the coeffecient with the second term.
4x²+2xy
3. Make sure the result is in alphabetical order and from greatest to least.
Tyler P.- Today we learned how to multiply a polynomial by a monomial.
Student Summaries:
Alexis H.&Ben R.: Section 9-5 is dealing with multiplying Binomials, or also known as multiplying two term.
which you take one binomial and a second binomial and use the foil method. the foil method is where you distribute the first term to the second set and the do the same thing with the second term. Then after that you combine like terms. this will bring you out to your final equation.
Student Summaries:
Isaac H.
Samantha L.-9-6 is all about braking apart a word problem to find an initial value for a given problem. Depending on the problem you use the opposite of a given component say the problem told you to multiply a number by 5 in urn you would then divide it by 5. Thus you begin the process of working backward.
Student Summaries:
Jared K.
Chris P. - In class we utilized our polynomial factoring, and combined the strategy of factoring using GCFs. (Greatest-Common-Factor) We do this by finding the greatest common factor for the polynomials, then putting the expression in parenthesis (EX: 5ab-5bc; 5b(a-c)) This would simplify the explanation.
Table of Contents
Chapter 9: Polynomials
Preview: Chapter 9 Preview 0910.pdfWiki Summary Assignments
Due the school day after we cover the lesson in class9-1: Ben B. and Erica M.
9-2: Stephanie G. and Samantha R.
9-3: Nick C. and Patrick E.
9-4: Cassi K. and Tyler P.
9-5: Alexis H. and Ben R.
9-6: Isaac H. and Samantha L.
9-7: Jared K. and Chris P.
9-8: Katlyn K. (Bonus) and Sam L. (Bonus)
9-1: Add and Subtract Polynomials
Notes: Section 9-1 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Ben B. - How do you write polynomials in standard form? How do you add and subtract polynomials? Both questions I will answer for you in this Wiki Summary. But first lets get a little more familiar with the vocabulary.
- Monomial- An expression that has one term (a number, variable, or a combination of both a number & variables without any addition or subtraction).
- Coefficient- The number that is with the variable.
- Constant- A number without a variable.
- Polynomial- A collection of terms that are combined by addiction or subtraction. Term- Each monomial within a polynomial.
- Binomial- A polynomial with two terms.
- Trinomial- A polynomial with three terms.
- Standard Form- When a polynomial is written from highest to lowest degree (highest to lowest exponent).
- Like Terms- Terms that have the same variable parts (variables & exponents).
Now that we know all this lets get in to how to write polynomials in standard form and how to add and subtract them. Tell the variable for which the polynomial is arranged in standard form, Add the polynomials, and subtract from the sum. There’s all that in a nut shell. =}Erica M.
9-2: Multiply Monomials
Notes: Section 9-2 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Stephanie G & Samantha R- In lesson 9-2 we learned how to multiply monomials. When you are multiplying monomials all you have to do is multiply. The first part you multiply is the base or the constant, which is the number in the monomials. Then the next part you multiply or add the variable(s) or coefficient(s) and their exponent. The way to tell if you have to add or multiply the exponents is if there is an exponent outside of the (), and it is by it's self you multiply everything in the () by the exponent. So if there is not an exponent right after a () you add your exponents. When you get your answer make sure it is in alphabetical order. And the other thing that happens when you are multiplying monomials is when you get your answer is it will always be a monomial, no matter how many you multiply together.
9-3: Divide by a Monomial
Notes: Section 9-3 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Nick C and Patrick E Today we learned how to divide monomials. An example is 20x^5 divided by 5x^2. first we would divide the coefficient on top by the one on the bottom which would be 20 divided by 5. then you would take the exponents and subtract them and you would get 4x^3.
9-4: Multiply a Polynomial by a Monomial
Notes: Section 9-4 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Cassi K.-I In this lesson we learned how to multiply a polynomial by a monomial. When multiplying this all you are pretty much doing is distribution. You have to distribute the number in front to everything in the parentheses. An example is:
2x(2x+y) 1. You need to multiply the coeffecient with the first term in the parentheses, and add the "x's." 2. You need to multiply the coeffecient with the second term.
4x²+2xy
3. Make sure the result is in alphabetical order and from greatest to least.
Tyler P.- Today we learned how to multiply a polynomial by a monomial.
9-5: Multiply Binomials
Notes: Section 9-5 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Alexis H.&Ben R.: Section 9-5 is dealing with multiplying Binomials, or also known as multiplying two term.
which you take one binomial and a second binomial and use the foil method. the foil method is where you distribute the first term to the second set and the do the same thing with the second term. Then after that you combine like terms. this will bring you out to your final equation.
9-6: Problem Solving Skills: Work Backward
Notes: Section 9-6 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Isaac H.
Samantha L.-9-6 is all about braking apart a word problem to find an initial value for a given problem. Depending on the problem you use the opposite of a given component say the problem told you to multiply a number by 5 in urn you would then divide it by 5. Thus you begin the process of working backward.
9-7: Factor Using Greatest Common Factor (GCF)
Notes: Section 9-7 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Jared K.
Chris P. - In class we utilized our polynomial factoring, and combined the strategy of factoring using GCFs. (Greatest-Common-Factor) We do this by finding the greatest common factor for the polynomials, then putting the expression in parenthesis (EX: 5ab-5bc; 5b(a-c)) This would simplify the explanation.
9-8: Perfect Squares and Difference of Squares
Notes: Section 9-8 Student 0910.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
Katlyn K.
Sam L.
Calendar